prompt dict | response stringlengths 11 162 | meta dict | fact_sources listlengths 1 3 | artifacts dict |
|---|---|---|---|---|
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 153.0 W/m²; Absorbed = 147.0 W/m². | {
"id": "WUA_EARTH_25K_015901",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": ... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00567 kg/kg. | {
"id": "WUA_EARTH_25K_015902",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 934 hPa to Pa."
... | P = 93400 Pa. | {
"id": "WUA_EARTH_25K_015903",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": [
... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 42.2 W/m²; Absorbed = 485.3 W/m². | {
"id": "WUA_EARTH_25K_015904",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Convert pressure: 979 hPa to Pa."
... | P = 97900 Pa. | {
"id": "WUA_EARTH_25K_015905",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": [
... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01578 kg/kg. | {
"id": "WUA_EARTH_25K_015906",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01271 kg/kg. | {
"id": "WUA_EARTH_25K_015907",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -13.97 °C. | {
"id": "WUA_EARTH_25K_015908",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 757.4 mm. | {
"id": "WUA_EARTH_25K_015909",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 110.7 W/m²; Absorbed = 57.0 W/m². | {
"id": "WUA_EARTH_25K_015910",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": ... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 47.3 W/m²; Absorbed = 100.6 W/m². | {
"id": "WUA_EARTH_25K_015911",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 572.8 W/m²; Absorbed = 190.9 W/m². | {
"id": "WUA_EARTH_25K_015912",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 418.8 W/m²; Absorbed = 683.3 W/m². | {
"id": "WUA_EARTH_25K_015913",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags": ... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 562.0 mm. | {
"id": "WUA_EARTH_25K_015914",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00446 kg/kg. | {
"id": "WUA_EARTH_25K_015915",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01114 kg/kg. | {
"id": "WUA_EARTH_25K_015916",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01751 kg/kg. | {
"id": "WUA_EARTH_25K_015917",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01194 kg/kg. | {
"id": "WUA_EARTH_25K_015918",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 144.0 W/m²; Absorbed = 156.1 W/m². | {
"id": "WUA_EARTH_25K_015919",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01314 kg/kg. | {
"id": "WUA_EARTH_25K_015920",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 129.2 mm. | {
"id": "WUA_EARTH_25K_015921",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 17.18 °C. | {
"id": "WUA_EARTH_25K_015922",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags":... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 487.6 W/m²; Absorbed = 415.4 W/m². | {
"id": "WUA_EARTH_25K_015923",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01159 kg/kg. | {
"id": "WUA_EARTH_25K_015924",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
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{
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"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1091.6 mm. | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 330.0 W/m²; Absorbed = 248.9 W/m². | {
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{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 467.0 W/m²; Absorbed = 102.5 W/m². | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01459 kg/kg. | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 596.3 mm. | {
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},
{
"role": "user",
"content": "Convert pressure: 975 hPa to Pa."
... | P = 97500 Pa. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00961 kg/kg. | {
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 971.9 W/m²; Absorbed = 145.2 W/m². | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.02078 kg/kg. | {
"id": "WUA_EARTH_25K_015933",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -6.64 °C. | {
"id": "WUA_EARTH_25K_015934",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01649 kg/kg. | {
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Convert pressure: 990 hPa to Pa."
... | P = 99000 Pa. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00808 kg/kg. | {
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"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01698 kg/kg. | {
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"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 222.8 W/m²; Absorbed = 52.3 W/m². | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 871 hPa to Pa."
... | P = 87100 Pa. | {
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 11.98 °C. | {
"id": "WUA_EARTH_25K_015941",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01846 kg/kg. | {
"id": "WUA_EARTH_25K_015942",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Convert pressure: 956 hPa to Pa."
... | P = 95600 Pa. | {
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"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 899 hPa to Pa."
... | P = 89900 Pa. | {
"id": "WUA_EARTH_25K_015944",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -259.3 mm. | {
"id": "WUA_EARTH_25K_015945",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 1002 hPa to Pa."... | P = 100200 Pa. | {
"id": "WUA_EARTH_25K_015946",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 951 hPa to Pa."
... | P = 95100 Pa. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01350 kg/kg. | {
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"subdomain": "earth_math::atmosphere",
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{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 1413.6 mm. | {
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{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 427.7 mm. | {
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -12.13 °C. | {
"id": "WUA_EARTH_25K_015951",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 949 hPa to Pa."
... | P = 94900 Pa. | {
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -323.6 mm. | {
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -2.01 °C. | {
"id": "WUA_EARTH_25K_015954",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 464.3 W/m²; Absorbed = 272.7 W/m². | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Convert pressure: 1005 hPa to Pa."... | P = 100500 Pa. | {
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},
{
"role": "user",
"content": "Convert pressure: 1012 hPa to Pa."... | P = 101200 Pa. | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -901.2 mm. | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01173 kg/kg. | {
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"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01369 kg/kg. | {
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"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -1042.8 mm. | {
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 323.0 W/m²; Absorbed = 790.7 W/m². | {
"id": "WUA_EARTH_25K_015962",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -8.67 °C. | {
"id": "WUA_EARTH_25K_015963",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 201.3 W/m²; Absorbed = 427.7 W/m². | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01054 kg/kg. | {
"id": "WUA_EARTH_25K_015965",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -67.8 mm. | {
"id": "WUA_EARTH_25K_015966",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01177 kg/kg. | {
"id": "WUA_EARTH_25K_015967",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 232.3 W/m²; Absorbed = 696.9 W/m². | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -370.3 mm. | {
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"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -826.6 mm. | {
"id": "WUA_EARTH_25K_015970",
"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 1022 hPa to Pa."... | P = 102200 Pa. | {
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{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00509 kg/kg. | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00481 kg/kg. | {
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},
{
"role": "user",
"content": "Convert pressure: 1000 hPa to Pa."... | P = 100000 Pa. | {
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"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 85.0 W/m²; Absorbed = 687.9 W/m². | {
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01674 kg/kg. | {
"id": "WUA_EARTH_25K_015976",
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},
{
"role": "user",
"content": "Convert pressure: 1047 hPa to Pa."... | P = 104700 Pa. | {
"id": "WUA_EARTH_25K_015977",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 660.7 mm. | {
"id": "WUA_EARTH_25K_015978",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -514.0 mm. | {
"id": "WUA_EARTH_25K_015979",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
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"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -19.66 °C. | {
"id": "WUA_EARTH_25K_015980",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = 551.7 mm. | {
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"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ 20.73 °C. | {
"id": "WUA_EARTH_25K_015982",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Convert pressure: 950 hPa to Pa."
... | P = 95000 Pa. | {
"id": "WUA_EARTH_25K_015983",
"domain": "master_scholars_academics",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01876 kg/kg. | {
"id": "WUA_EARTH_25K_015984",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01818 kg/kg. | {
"id": "WUA_EARTH_25K_015985",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -114.2 mm. | {
"id": "WUA_EARTH_25K_015986",
"domain": "master_scholars_academics",
"subdomain": "earth_math::hydrology",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 143.3 W/m²; Absorbed = 611.0 W/m². | {
"id": "WUA_EARTH_25K_015987",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 167.0 W/m²; Absorbed = 667.9 W/m². | {
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"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
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},
{
"role": "user",
"content": "Convert pressure: 1018 hPa to Pa."... | P = 101800 Pa. | {
"id": "WUA_EARTH_25K_015989",
"domain": "master_scholars_academics",
"subdomain": "earth_math::units",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00311 kg/kg. | {
"id": "WUA_EARTH_25K_015990",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01881 kg/kg. | {
"id": "WUA_EARTH_25K_015991",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 129.4 W/m²; Absorbed = 38.6 W/m². | {
"id": "WUA_EARTH_25K_015992",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 142.0 W/m²; Absorbed = 17.5 W/m². | {
"id": "WUA_EARTH_25K_015993",
"domain": "master_scholars_academics",
"subdomain": "earth_math::radiation",
"task": "quantitative_reasoning",
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"created_utc": "2026-01-04T05:02:58",
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},
{
"role": "user",
"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.00568 kg/kg. | {
"id": "WUA_EARTH_25K_015994",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Convert pressure: 936 hPa to Pa."
... | P = 93600 Pa. | {
"id": "WUA_EARTH_25K_015995",
"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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"role": "system",
"content": "You are WithinUsAI Master Scholars Earth & Climate Science Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Temperature with lapse rate: T(z)=... | T(z) ≈ -22.42 °C. | {
"id": "WUA_EARTH_25K_015996",
"domain": "master_scholars_academics",
"subdomain": "earth_math::atmosphere",
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"content": "Albedo: reflected = α·S; absorbed=... | Reflected = 345.3 W/m²; Absorbed = 294.1 W/m². | {
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"content": "Mixing ratio (approx): w = 0.622 e... | w ≈ 0.01040 kg/kg. | {
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"content": "Convert pressure: 881 hPa to Pa."
... | P = 88100 Pa. | {
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"content": "Water balance: Q = P - ET - ΔS. Gi... | Q = -592.6 mm. | {
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